# Adding and Subtracting Decimals

- Adding and Subtracting Decimals
- Understanding Adding and Subtracting Decimals
- Adding and Subtracting Decimals – Rules
- Adding and Subtracting Decimals – Step-By-Step Examples
- Adding and Subtracting Decimals – Guided Practice
- Adding and Subtracting Decimals – Exercises
- Adding and Subtracting Decimals – Summary
- Adding and Subtracting Decimals – Frequently Asked Questions

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Learning text on the topic
**Adding and Subtracting Decimals**

## Adding and Subtracting Decimals

Welcome to the world of **Adding and Subtracting Decimals**! Today, we'll explore how to add and subtract decimal numbers using strategies based on **place value**. We'll ensure you understand this fundamental concept and feel confident in applying it!

## Understanding Adding and Subtracting Decimals

Adding and subtracting decimals is the process of combining or taking away amounts that are represented in **tenths**, **hundredths**, or even smaller units, by ensuring that the decimal points are aligned.

Adding decimal numbers and subtracting decimal numbers might seem tricky at first, but using your knowledge of place value and careful **alignment** of digits, it becomes like adding and subtracting with whole numbers, using methods that you are already familiar with.

Like with whole numbers, you always align the numbers by place value, making sure the **decimal place is aligned** too. You can use a **place value chart** to help you align your numbers correctly.

If one of the numbers you are adding or subtracting has **fewer digits** in the decimal places, you can **annex, or add, zeros** to make the digits the same length. This helps with aligning for addition and subtraction.

## Adding and Subtracting Decimals – Rules

If you are wondering how to add decimals or how to subtract decimals, you can follow step-by-step rules for each operation. Below are the rules for you to learn and follow.

Operation | Step | Description |
---|---|---|

Adding Decimals | Step 1 | Line up the decimal points of the numbers vertically. |

Step 2 | If necessary, add zeros to make the decimal parts equal in length. | |

Step 3 | Add the numbers as you would with whole numbers. | |

Step 4 | Bring the decimal point straight down into your answer. | |

Subtracting Decimals | Step 1 | Line up the decimal points of the numbers vertically. |

Step 2 | If necessary, add zeros to the end of the decimal part to make them equal in length. | |

Step 3 | Subtract the numbers as you would with whole numbers. | |

Step 4 | Bring the decimal point straight down into your answer. |

*Let’s check-in by answering some questions about what we have learned so far!*

## Adding and Subtracting Decimals – Step-By-Step Examples

Let’s walk through a decimal addition example to make sure you understand the process of adding decimals. Let's solve: 3.75 + 2.6.

- First, align the decimals, adding a zero in the hundredth place for 2.6:

- Then, add as you would with whole numbers, keeping the decimal point in the same place:

The answer for 3.75 + 2.6 is 6.35.

Now let’s walk through another example, this time for subtracting decimals. Let’s solve: 5.8 - 2.35.

- First, align the decimals, adding a zero in the hundredths place for 5.8.

- Then, subtract as you would with whole numbers, keeping the decimal point in the same place:

## Adding and Subtracting Decimals – Guided Practice

Now we will walk through an example together. Let's solve: 5.82 - 3.4.

## Adding and Subtracting Decimals – Exercises

Now you are ready for some decimal addition and subtraction practice on your own! For the first problem solve 7.53 - 4.6.

For the next problem, solve 8.75 + 3.42.

## Adding and Subtracting Decimals – Summary

You can use place value to add and subtract decimal numbers, by following these steps:

- Align decimal points and ensure equal length by adding zeros.
- Add or subtract as with whole numbers.
- Remember the importance of place value for accurate calculation.
- Always check your answer.

Practice these steps to build your confidence and skill in decimal addition and decimal subtraction.

Explore more about Adding and Subtracting Decimals with our interactive practice problems, engaging videos, and printable worksheets on our learning platform. Your journey in mastering decimals is just beginning! Check out videos on **Adding Decimals using Place Value** and **Subtracting Decimals using Place Value** for extra practice in this topic.

## Adding and Subtracting Decimals – Frequently Asked Questions

Even and odd numbers

Divisibility Rules - 3, 6, 9

Divisibility Rules - 7

Divisibility Rules - 4, 5, 8, 10

Prime Numbers

Integers and their Opposites

Least Common Multiples

Prime Factorization

Adding and Subtracting Rational Numbers on a Number Line

Ordering Rational Numbers

Cube Roots

Rational and Irrational Numbers

Ordered Pairs on the Coordinate Plane

Finding the Greatest Common Factor

Adding and Subtracting Decimals

Comparing Fractions

Equivalent Fractions

Simplifying Fractions

Temperature Conversion

Division with Exponents

Multiplication with Exponents

Improper Fractions and Mixed Numbers

Multiplying Mixed Numbers: Word Problems